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Finding the Fourth Proportional to 46,376, 69,564 and 21,752

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Solution

The fourth proportional to 46,376, 69,564 and 21,752 is: 32,628

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,376 : 69,564 = 21,752 : x
  2. Step 2: Convert to fraction form
    46,376/69,564 = 21,752/x
  3. Step 3: Cross multiply
    46,376x = 69,564 × 21,752
  4. Step 4: Simplify right side
    46,376x = 1,513,156,128
  5. Step 5: Solve for x
    x = 1,513,156,128/46,376
  6. Step 6: Final answer
    x = 32,628

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.